The G-Centroid: Resolving the Gravitational Constant via Metric Impedance

"This manuscript presents a fundamental derivation of the universal Gravitational Constant (G) and the G-Centroid value via metric scaling. Please note that the derivations in this paper are purely theoretical and independent of any specific experimental datasets. While associated technical reports utilize LEO telemetry for model-testing purposes, the fundamental architecture and the 'exact value' calculated herein are established as a standalone theoretical proof. This record serves to secure academic priority for the G-Centroid derivation and its logical framework."